10.1186/2251-7235-6-34

A new form of Grad-Shafranov equation for a tokomak with an elongated cross section

HTML PDF
  • Alireza Seife Khajeh Marjan1,
  • Samad Sobhanian1,
  1. Department of Atomic and Molecular Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Published in Issue 2023-11-17

How to Cite

1.
Marjan ASK, Sobhanian S. A new form of Grad-Shafranov equation for a tokomak with an elongated cross section. J Theor Appl phys. 2023 Nov. 17;6(1). Available from: https://oiccpress.com/jtap/article/view/2050
Crossref
Scopus
Google Scholar
Europe PMC

HTML views: 8

PDF views: 105

Abstract

AbstractDifferent forms of the well-known Grad-Shafranov (G-S) equations that define the equilibrium behavior of tokomak plasma have been already obtained. None of these equations contain explicitly the triangularity δ and the elongation ratio ks. The aim of this work is to obtain a new form of G-S equation which includes both the triangularity and the elongation ratio. For verifying the correctness of the obtained equation, the triangularity is set to 0, which leads to a G-S equation for circular cross section. Also, the magnetic field and current density obtained from this new G-S equation is reduced to the quantities already derived for circular cross section.

Keywords

  • 28.52,
  • 52.25,
  • 52.5528.52,
  • Current density,
  • Elongation,
  • G,
  • Magnetic field,
  • S,
  • S equation,
  • Triangularity,
  • Xz
HTML PDF